A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?

Answers

Answer 1

Answer:

[tex]21\%[/tex]

Step-by-step explanation:

Original dimensions of the rectangle

[tex]l=7\ \text{units}[/tex]

[tex]w=3\ \text{units}[/tex]

Area of the rectangle

[tex]A=7\times 3=21\ \text{units}^2[/tex]

Scale factor = 1.1

New dimensions

[tex]l'=7\times 1.1=7.7\ \text{units}[/tex]

[tex]w'=3\times 1.1=3.3\ \text{units}[/tex]

The new area of the rectangle

[tex]A'=7.7\times 3.3=25.41\ \text{units}^2[/tex]

Percentage change is given by

[tex]\dfrac{A'-A}{A}\times 100\\ =\dfrac{25.41-21}{21}\times 100=21\%[/tex]

The percentage by which the area of the rectangle increases is [tex]21\%[/tex].


Related Questions

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

Terrance has 12 of the 15 collector's edition books in a series. Keymar has LaTeX: \frac{4}{5}4 5 of the series. Who has more books? Group of answer choices both oof them Terrance keymar

Answers

Answer: Both of them

Step-by-step explanation:

There are 15 books in the series.

Terrance has 12 of them and Keymar has 4/5 of them.

The number that Keymar has is:

= 4/5 * 15

= 60/5

= 12 books

They therefore both have the same number of books from the collection.

What is the exact distance from (−4, −2) to (4, 6)?

square root of 24. units
square root of 88. units
square root of 100. units
square root of 128. units



35 points!!

Answers

It’s the forth one 128 units. I hope this helps

Answer:

Arf ( its 128 units)

Step-by-step explanation:

PLEASE HELP HURRY 20 POINTS AND I WILL MARK BRAINLEST
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?

Answers

I would say it would be 20 dollars since you don’t see a 1 hours you would have to improvise

what's 3x+5y=-7 (show step by step on paper)

Answers

Answer:

m=-3/5

Step-by-step explanation:

Simplifying

3x + 5y = 7

Solving

3x + 5y = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

3x + 5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0

3x + 0 = 7 + -5y

3x = 7 + -5y

Divide each side by '3'.

x = 2.333333333 + -1.666666667y

Simplifying

x = 2.333333333 + -1.666666667y

3 in. 6 in. 5 in. Find the surface area of the shape above, A 14 in 2 B 56 in? C 90 in? D 126 in​

Answers

Answer:

C) 90in

Step-by-step explanation:

3 x 6 x 5 = 90

Heyyy everyone Is 5'3 short ?

Answers

i thinks its a little

hmm.. i’m 5’3 and i find myself short compared to other people .. so yes

OMG!!! Help MEH 20 PIONTS AND CROWN I REALLY NEED HELP :'( I NEED MY GRADE UP EVERYTHINGS BELOW

Answers

Answer:

Question 3: There are two sets of like terms. The first one is 4 and -2. The second one is -4z, 5z and 2z. When you combine them the answer is 2+3z.

Question 2: -24-3x

Answer: Hope This Helps <3

Step-by-step explanation:

Question 1: 2+3z

Question 2: -24-3x

Hope your grades get better <3

math easy question?
pls help

Answers

step 2

because she should substitute the negative sign to 6
The correct answer should be step 2, B is correct choice (step 2)

what is the value of b?​

Answers

Answer:

The b-value is the middle number, the number next to the x

Step-by-step explanation:

Solve this PLZZZZZZ

Answers

Answer:

X = -1, 3

Step-by-step explanation:

2x + 5y = 6
2x = 10 – 3y

Solve the simultaneous equations by substitution

(Sorry all my questions are maths i suck, more to come)

Answers

Step-by-step explanation:

Given equations

2x + 5y = 6 .......i)

2x = 10 - 3y...... II)

Putting 2x = 10 - 3y in equation i

10 - 3y + 5y = 6

2y = 6 - 10

2y = - 4

y = - 4 / 2

y = - 2

Now putting y = - 2 in equation ii

2x = 10 - 3 * ( - 2)

2x = 10 + 6

2x = 16

x = 16 / 2

x = 8

So x = 8 and y = - 2

Hope it will help :)❤

7) 43 is 31% of what number?
8) 105 is 42% of what number?​

Answers

Answer:

7.) 138.71

8.) 250

Step-by-step explanation:

Was this the answer you were looking for?

Answer:

7)13.33

8)44.1

Step-by-step explanation:

43*31/100=1333/100

=13.33

105*42/100=4410

=44.1

Hurrrry
Djdbdidbdudhhebfjfnifnf

Answers

Answer:

I don't know that answer will come back to you

PLEASEEE HELP!
The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?

Answers

Answer:

4

Step-by-step explanation:

120/30=4

12 volunteers already signed up.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

She knows that finishing the shed will take 120 work hours.

let n be the number of volunteers.

So, 1/n - 1/(n+1)= 1/120

(n+1-n)/n(n+1)= 1/120

1/n²-n = 1/120

n² - n= 120

n² - n -120= 0

n= 11.46 and n= -10.46

Thus, 12 volunteers already signed up.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Plz help i know it is a lot, but could somebody, do al least a few?? plz (T-T)

Answers

Answer:

Step-by-step explanation:

Wow why your teacher give such things for you to do it today , you should ask you math teacher to help you , and I think the thing look like it already answer

the perimeter of a square patio is (8x-28). what is the length of one side?

Answers

Answer:

choice 1) 2x - 7

Step-by-step explanation:

(8x - 28)/4 = 2x  -7

-7=-0.2k
K=
Please help!

Answers

Answer:

Your answer should be 35 :)

Step-by-step explanation:

Hope this helps!

Answer:
35

Solution:
-0.2k=-7 then divide both sides by -0.2

shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amount of money in her account, A dollars after n weeks.

Answers

540-35x= y

540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.

An initial investment of $200 is worth $315.24 after seven years of continuous compounding. Find the interest rate.​

Answers

Answer:

16.46

Step-by-step explanation:

subtract 315.24-200=115.24

then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.

A windowpane is 6 inches by 8 inches. What is the
distance between opposite corners of the windowpane?
URGENT!!!

Answers

Using Pytharagos Thereom,

[tex]a^{2} + b^{2} =c^{2}[/tex]

36+64=100

[tex]\sqrt{100[/tex] = 10

the distance between the opposite corners is 10 inches

Which statements are true about the system of equations? Select all that apply.

Answers

Answer:

✔The graph of the system consists of lines that have exactly one point of intersection.

✔The system has no solution

✔The system has exactly one solution.

✔The system has more than one solution.

Step-by-step explanation:

A system of linear equation is known to be a set of one or more linear equations which involve the same set of variables.

A system linear equation can have no solution, exactly one solution or infinitely one solution. When they have one solution, the lines have exactly one point of intersection. When they have no solution, the lines are parallel and when they have more than one solution, the equations are the same.

Ben purchases a coffee and several cupcakes. If he spends a total of $14.40, how many cupcakes did he purchase. Prices Coffee: .............. $1.90 cupcake: .................$2.50

Answers

Answer:

5 cupcakes

Step-by-step explanation:

5 ×$2.50 is $12.50+ $1.90 is $14.40

Write the equation, in point-slope form, of the line passing through the points (-1, -2) and (3, 10)?

Answers

Answer:

y+2=3(x+1)

Step-by-step explanation:

1. find the slope

m=y2-y1/x2-x1

m=10-(-2)/3-(-1)

m=10+2/3+1

m=12/4

m=3

slope is 3

2.point-slope formula

y-y1=m(x-x1)

y-(-2)=3(x-(-1))

y+2=3(x+1)

write your answer (168 ÷ 7) × 3^2 - 43

Answers

Answer:

173

Step-by-step explanation:

Answer:

173

Step-by-step explanation:

wanda summers teaches 10th grade english. if she is paid a weekly salary of $750.00 what is her annual salary

Answers

Answer: 39,000 dollars

Step-by-step explanation: weekly salary multiplied by how many weeks are in a year(52)

Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

V=1/3Abh(make Ab the subject)

Answers

Answer:

change format

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

The graph of a proportional relationship passes through the given point and (1, y). Find y. Given point: (2, 16) people say the answer is 4/3 but it is not.

Answers

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4(g - h) + 10 , when g = 12 , h = 7

Answers

Answer: 30

Step-by-step explanation:

4 (12 - 7 ) + 10

Do 12 - 7 first.  It'll equal 5

4(5)+10

Now multiply 4 and 5.

It'll be 20.

20+10 =30

Answer:

30

Step-by-step explanation:

4(12-7)+10          or:         4(12-7)+10

48-28+10                          4(5)+10

20+10                                 20+10

30                                        30

you can do it either way  hope this helps

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